{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "didi_dataset.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "dQSpAJrtrtzk",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# Licensed under the Apache License, Version 2.0 (the \"License\");\n",
        "# you may not use this file except in compliance with the License.\n",
        "# You may obtain a copy of the License at\n",
        "#\n",
        "#     http://www.apache.org/licenses/LICENSE-2.0\n",
        "#\n",
        "# Unless required by applicable law or agreed to in writing, software\n",
        "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
        "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
        "# See the License for the specific language governing permissions and\n",
        "# limitations under the License."
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yrLSCC0io2df",
        "colab_type": "text"
      },
      "source": [
        "This colab notebook demonstrates how to read and visualize the data in the Didi dataset: Digital Ink Diagram data.\n",
        "\n",
        "More information about this data is available at\n",
        "* https://github.com/google-research/google-research/tree/master/didi_dataset\n",
        "* [The Didi dataset: Digital Ink Diagram data](https://arxiv.org/abs/2002.09303). P. Gervais, T. Deselaers, E. Aksan, O. Hilliges, 2020.\n",
        "\n",
        "The colab demonstrates how to:\n",
        "\n",
        "1. display the data along with the prompt images.\n",
        "1. convert the data to a sharded `TFRecord` file of `TFExample`s."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-Aa_RzeVokI_",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from __future__ import division\n",
        "\n",
        "import collections\n",
        "import contextlib\n",
        "import io\n",
        "import json\n",
        "import os\n",
        "import random\n",
        "import statistics\n",
        "\n",
        "from googleapiclient.discovery import build\n",
        "from google.colab import auth\n",
        "from google.colab import files\n",
        "from googleapiclient.http import MediaIoBaseDownload\n",
        "from apiclient import errors\n",
        "\n",
        "%tensorflow_version 2.x\n",
        "import tensorflow as tf\n",
        "\n",
        "import numpy as np\n",
        "from matplotlib import pylab\n",
        "from IPython.display import Image, display"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8KwkQwSYqI30",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# Setup and settings.\n",
        "\n",
        "# Settings\n",
        "JSON_FILES=[\"diagrams_wo_text_20200131.ndjson\", \"diagrams_20200131.ndjson\"]\n",
        "PROJECT_ID = \"digital-ink-diagram-data\"\n",
        "BUCKET_NAME = \"digital_ink_diagram_data\"\n",
        "LOCAL_DATA_DIR = \"/tmp\"\n",
        "NUM_TFRECORD_SHARDS = 1\n",
        "\n",
        "auth.authenticate_user()\n",
        "\n",
        "# Creating the service client.\n",
        "gcs_service = build(\"storage\", \"v1\")"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "laODh1c5IpUW",
        "colab_type": "code",
        "outputId": "552df276-38ee-4774-bb5c-7ecfcf9da2c8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 357
        }
      },
      "source": [
        "# Download the data\n",
        "def download_file_from_gcs(filename):\n",
        "  directory_name = os.path.join(LOCAL_DATA_DIR, os.path.dirname(filename))\n",
        "  if not os.path.exists(directory_name):\n",
        "    os.mkdir(directory_name)\n",
        "  with open(os.path.join(LOCAL_DATA_DIR, filename), \"wb\") as f:\n",
        "    request = gcs_service.objects().get_media(bucket=BUCKET_NAME, object=filename)\n",
        "    media = MediaIoBaseDownload(f, request)\n",
        "\n",
        "    done = False\n",
        "    while not done:\n",
        "      status, done = media.next_chunk()\n",
        "      if not done:\n",
        "        print(\"Downloading '%s': %-3.0f%%\" % (filename, status.progress() * 100))\n",
        "\n",
        "def get_label_file(type, labelid):\n",
        "  file_id = os.path.join(type, \"%s.%s\" % (labelid, type))\n",
        "  fname = os.path.join(LOCAL_DATA_DIR, file_id)\n",
        "  if os.path.exists(fname):\n",
        "    return fname\n",
        "  download_file_from_gcs(file_id)\n",
        "  return fname\n",
        "\n",
        "for json_file in JSON_FILES:\n",
        "  download_file_from_gcs(json_file)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Downloading 'diagrams_wo_text_20200131.ndjson': 10 %\n",
            "Downloading 'diagrams_wo_text_20200131.ndjson': 20 %\n",
            "Downloading 'diagrams_wo_text_20200131.ndjson': 30 %\n",
            "Downloading 'diagrams_wo_text_20200131.ndjson': 40 %\n",
            "Downloading 'diagrams_wo_text_20200131.ndjson': 50 %\n",
            "Downloading 'diagrams_wo_text_20200131.ndjson': 60 %\n",
            "Downloading 'diagrams_wo_text_20200131.ndjson': 71 %\n",
            "Downloading 'diagrams_wo_text_20200131.ndjson': 81 %\n",
            "Downloading 'diagrams_wo_text_20200131.ndjson': 91 %\n",
            "Downloading 'diagrams_20200131.ndjson': 9  %\n",
            "Downloading 'diagrams_20200131.ndjson': 17 %\n",
            "Downloading 'diagrams_20200131.ndjson': 26 %\n",
            "Downloading 'diagrams_20200131.ndjson': 34 %\n",
            "Downloading 'diagrams_20200131.ndjson': 43 %\n",
            "Downloading 'diagrams_20200131.ndjson': 51 %\n",
            "Downloading 'diagrams_20200131.ndjson': 60 %\n",
            "Downloading 'diagrams_20200131.ndjson': 69 %\n",
            "Downloading 'diagrams_20200131.ndjson': 77 %\n",
            "Downloading 'diagrams_20200131.ndjson': 86 %\n",
            "Downloading 'diagrams_20200131.ndjson': 94 %\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LsU_07x4wx8-",
        "colab_type": "code",
        "outputId": "407b27b7-a31a-40ac-9247-cd0fe0937e7e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "# Displays prompt images with drawing overlaid.\n",
        "def PrepareDrawing():\n",
        "  pylab.clf()\n",
        "  pylab.axes().set_aspect(\"equal\")\n",
        "  pylab.gca().yaxis.set_visible(False)\n",
        "  pylab.gca().xaxis.set_visible(False)\n",
        "\n",
        "def display_image(ink):\n",
        "  im = pylab.imread(os.path.join(LOCAL_DATA_DIR, \"png\", ink[\"label_id\"] + \".png\"))\n",
        "  # Compute scaling of the image.\n",
        "  guide_width = ink[\"writing_guide\"][\"width\"]\n",
        "  guide_height = ink[\"writing_guide\"][\"height\"]\n",
        "  im_height, im_width, _ = im.shape\n",
        "  scale=min(guide_width / im_width, guide_height / im_height)\n",
        "  offset_x = (guide_width - scale * im_width) / 2\n",
        "  offset_y = (guide_height - scale * im_height) / 2\n",
        "  pylab.imshow(im, origin=\"upper\",\n",
        "               extent=(offset_x, offset_x + scale * im_width,\n",
        "                       offset_y + scale * im_height, offset_y),\n",
        "                       aspect=\"equal\")\n",
        "\n",
        "def display_strokes(ink):\n",
        "  for s in ink[\"drawing\"]:\n",
        "    pylab.plot(s[0], [y for y in s[1]], color=\"red\")\n",
        "\n",
        "def display_ink(ink):\n",
        "  # Fetch the corresponding PNG image.\n",
        "  get_label_file(\"png\", ink[\"label_id\"])\n",
        "  # Draw image, overlay strokes.\n",
        "  PrepareDrawing()\n",
        "  display_image(ink)\n",
        "  display_strokes(ink)\n",
        "  pylab.show()\n",
        "\n",
        "for json_file in JSON_FILES:\n",
        "  count = 0\n",
        "  with open(os.path.join(LOCAL_DATA_DIR, json_file)) as f:\n",
        "    for line in f:\n",
        "      ink = json.loads(line)\n",
        "      display_ink(ink)\n",
        "\n",
        "      count += 1\n",
        "      if count == 10:\n",
        "        break"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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tCs327WhRvfrjG73+OlCrFlDS/GwBoEkT4I8/gEuXYDJ7NkavWYNRWi0CTpzA4CZNsPzo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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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t8q+/ynTxp7ToaP5TqxYJ0Nq2rRjeWBY0Tay10rAhL1Vz+c9/yH37uHDhQtap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\ngtN+TRw6AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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KnkW6STJpuNlvqanojxzhIMqYgVzgmNHIrzodtxuNFH39NeGjR6scZTXUvDn8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\nuAhjqgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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6SfKqXFliheZpmo7Lly9n3bp1+c8//5ied3befVciAdy/n7lr/vz51GX87vyw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\nTgzA6TBOnBiA02GcODGA/wPC2qPwUbPG0wAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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30+LFi8kJoESJhE7oKW1MQS3sFaWrghcvsmfLk09arRMmIiKCXFxcqF+/frR2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\nNRohcEGNRghcUKMRAhfUaITABTWa/weMRtDhSASrDgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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a15rkW1jI07yionjBlonKykoaNWoU+fr6imic9RiNRlIqlbR+/XpeGRkdzZOY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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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xsRw0aBAlSaIkSezQoQPPnj17/+/1sfIIUK1Scf/+/cVofBFkZZHnz5N//EEu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\nMy7MNiwAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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wsEXTSYeJrtPp2K1bN06fPl3sKCsTvWTIEFmH8SYpghd/8YXIqg7wBsCUfv3M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\naBHdCfw/qkc7EROAMMEAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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a+PmRb7+tRDzUINVvgP/v/0iAq//5TxqNRubm5tZcbTyFNWtIgK/fdZfaSmot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\nEpoB1tDQ0FCJ/we5lvq950TnIgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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i6irCiHp4lCxubreKLeSoTdTq8j+XOh2QkACcOQOcPAns3Qv8739ifUAAMHas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\nMjJOQjbAMjIyMk5CNsAyMjIyTuL/AY4PoGEg30QOAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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6Olb6XGpRsx8vgiAINsw92wLOyMgAAERHRyM6OhpxcXHKUzwuLg6JiYmlWrNu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\nAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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UYwMl6CDRQn2xoogKStBBooHqFMYAStBBop7QsYESdAioJ3TXRwk6SEIenKSI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\nTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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f/yiXy6Veycn6wD9und2u0s6d9aM/7+6k005Txf626dbGiBHa4XTqrjvv1F13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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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obt/G89Qp7EeMUEZ1qRQYUrEiAA4REVaWROUOoqOtagEXykk5c6LVamn1wgu0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\nJA+RAViSJMlDZACWJEnykP8HZqvEUvZyk0UAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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aNfo++yxHjhxxrn2ujD0Eb66X2WZXbckp5arJExcnm41GtTU1ebLj6l934tQp\nER8fsdon81gzOgcrV5a/v/xSKlasKJUrV5bDhw/nKrvU1FQ5CBJpNN59VGLHDrXcgQMdcCIOYPNm\n9doPHCjfffed6HQ6x+afkCAC8mFgoGPz/S+0bp05QpEAIk2bivj5qXN3DAYZrdPJyt9/d7aVrsnn\nn4uAFDcaZeHChZm786/J89xzNEhPJ2XWLHjjDYdnny0VKkC9euhSUugL1KpaFVauRDGZaDJmDNu+\n/ZakpCQ6duxIai5cGri7u6MDDnp43N1z1pIl6FJSMh1cO53GjdWa1YwZ9ExJoUWLFo7N38MDURS8\nbDbH5nu/nDsHa9Zkvn0SYONGuH4dNm7E2qIF4202zr755n8rx2xWV6U/aNhXdHvk8nDHCsrOnfDH\nH2xs2RKv/v0dmvUdURRo3RpQnSWJokDbtrBlCxiNBL/9NuPff5/Tp0/z6aef/reyzp6FFSsyfaSk\nbdyo7pfcu4HIcz78EFq1gldeYXS3bpw+fdpxeRuNJPr5Uc5eFXY6u3bdfL1nD9szXhsM0LQpqYsW\ncQx4KCrq/suYPl11TzFsWO6Ovx8/PAUVpwrKr79i0+mo/PHHDs02V9SuDcD+rPvKloXx42H7drpV\nqYJer2fNmjUQF4fl7be5WK4cEeXL07lOHVq1asWhQ4cyv6oDskrEx5Mmsax+fSwVK8LTT3O9Tx84\neZLtAQGYgNRr16BGDahaFWv37uxv0IA95crRtkWLW/LNF/R6mDsXzGYaX7/O4sWLHZp9VOnShKem\nFgwRPXpU3VaqBA899K+PN33wARUAxR5qFiA1Opo/unVjYaNGPBoWRqtWrSAqCr76ihutW3PGy4tr\nfn4s69wZo9FI1GefkQa0/vprQHUd+tlnn6Gzu5RMSUlh8eLFPNezJ8tCQ7H5+NA/OJitmzdzbfhw\n1pYrR7GiRalevTq7d+++acf166zu2pWFjRrR+OGHVTsKGh6qlLjn9vjs2kE5pbv2obRtK1dCQx3b\nhsstS5eKgNQGqVat2s39W7ao7etff5XQ0FCpFBgoUqmSWEGSH35YxNNT5LHHpHXr1lK8ePHMr10E\nWervn/k+ZuhQNZ8uXURAjmZMJc/oswkMVD/r2lWSM/qQQHo0aSLFixeXhISE/Lwa6vJ2d3eR//1P\nWrdu7dCsVz/9tHp+ueyTylMGDFBt6dpVREQA+eeff2Td9OmyoVo1sYBE+flJ6oUL6vGbN0uSu3vm\n7yP/93/SunVrSW/VKnPfSqNRpEoVET8/6dOli0jRovKDr6+ofxc769erx+/eLTabTa58/PHNPEH2\ngHzv45P5/tgPPwggTzzxhOLgwaEAACAASURBVPp9q1WO291VCIj07SutW7fO//vkbvzyiwhIA4Mh\nV30ojhWU6tVlX4UKjj2h3PL99yIg1bIKis2m/snd3UWio6V06dLyrZeXWPV6aQrSBeQKyG61MnLz\nhrHZJBVkdlCQiIgcWLxYrPbjMmYRngKJqVNHZOdO9TJ+9JGIiOzYsUOOZzkmI9/fndEpGBoq0q+f\nVKlSxaHZfj1qlHrO48c7NN/7olcv1ZY+fUSio6UXyMmKFdWZniDxvXura1nsWA2GW/74ze2/z+ZP\nP1XvE5AIkM0dO4otIkKObN0qAjKxWLFbBSUjj3371PctWoiAHHJ3Fxkx4ubnzz2nbqdOleDgYAkI\nCBARkYPz54uAfGM/bokz75M7sWSJCMjDuRQUxzZ5vL1zXzVyNHYP4rf4EZ82DZYvh/ffZ/W+fURH\nRvJSSgo6q5VpisIyILhKFR6OiLipsADXr+MOXDWoQQFSv/gCHfAw0NzPD2bNoqLZTNC6dZnlUqsW\nAH+tWEFG5briZ59l5tumTZu8Pf/sMBrBasXDI7ct4NyR5O9PhLu7em0LCgsWQEgIi4BKZjOMHcub\nzz6L/8KFTJgyRT1mxQp09r4fS5cucPAg6+2/z2OvvQaxsfDNN9SuUIHGv/7KqvBwXmzSBICorHNs\nEhNvvq5rj+C0datqRlAQfPYZAO8BLFqkzhP65x+CgoKIi4sD4ODq1QAMAihWjGfPnnXefXIn7PbG\n5dInrmMFJSSEomYzNmf0htsnoCVkvN+5E15/Hdq3xzxsGKNGjaJTtWqZh9tEWNqlCxw5AmFhABzN\naI/b84rX6wGon9HxN3q0OqrQvz9HT51i6vffw6lT6mcVKwLwiCFLZJJXX83Md+rUqY4939xg95Nb\nLct5O4qNnp6wd686muJMfH3/va97dxg6lI/mzaNmzZqMHTuWlStXZsav3g6Mr1Ur8yEAqL/PTz+x\nZN063E6cgK++og0w0P7ASLXfC2azWe2fyiDjIWTviF3v4wMVKmADxoE6YFC5stqZn4USWYPHrVwJ\n9vdOuU/uhF1Icxtvx7GCUrEiQTdusHHDBodmmys+/xyAa0BQUhJ07QqhoRwYOZJWTz5JbGws43/4\nAQBbs2Z0Kl+ebsuX02/AAL777jveffddXnvtNQBSk5IASE9PV4+vVo0koN/ly3z355+MGT2a3599\nlpe6ds0cZbhoF9HGxYoBUBPoN3BgZr4vvfRSPl0IO/YgUqaAANq2bevw7Hdm1HrsT2anUbq0utXp\nuLJmDQsB+fRTKF8er3fe4dcJE/D08KBXr16cqFQJy+uv0wC49v77jOzZkx+//ZZ5zz3HwGPH4MUX\nCfz5Z+ISEuDVV5H69alv73itWrw4AJ+NGoVlwoTM4jf88MMtD9AknQ6OHKFahQrq+6QktcP4+HFS\nTSb1oJ07abJgAaDer/2mT8+8B/P9PrkbdkHJ9Rzo7NpBOaW79qFMmyYCMrJzZ0e14HKHzZbZZh0A\nEgWSaDDI8KZNpWvXrvL111/f9MsaFibSsKGcO3tWOnbsKMUCA+UNPz/5q0YNiYmJkTNnzshbGR19\nIN+NGCHp9evLvqJFJSgoSEJCQuTztm3Vzxctyjzu5++/V/N/910RkE4dOkhQUJAMGDBAYmJi1M+S\nk0X++Sd/rom97bt85EhJTEx0aNaTJk2SqmXKiBgMIu+849C875nff8/8DcZ36CCAvNe9u9xo1071\nvQKSHBAgS0HKhoSIJCSI6ZFHbulHERApUkQE5EuQmSEhcqxmTRGQP8uUESlSRNKDgmSnn59cA0nT\n6eSqvR9p+9ChEhkZKVfs65rc3d1l3bp1YjAYBJBhw4ZJ4vTpIiCLQLZllBcaKmmVK4tFUeQZHx8J\nCQmRAQMGOPdaZsePP4qA1HNKp+zZsyJ6vSxVFNmfn86Fk5JuvTkaNhTJyfvbl1+qxzz6qEirViJ2\nP5zSrNmtXsPGjhV56CGRvXtFOncWCQlRR4xmzxYpUUKkdGn1+I0b1ZGGDF8k48ap+WU4CY6PF9m0\nSeTNN0WKF1dHg/LDJ8gzz4g1KEjKlCzp8KwnTZok5cqVE6lTR+TJJx2e/z2RmHjzdx8y5NbPrlwR\nmTlTpGdPdfZsBjabyPbtIlOmqJ3pP/6o3i92EREQKVlS9eFiMqmezTp2VO+rXr3UjniLRaRyZfXY\nPXtUOyIjs7cxPV3tnPXwEKlbV+STT9T74sYNkdq11TzatVNtPXIkzy7VffHzzyIg9Z0iKCIi9uGz\n7X5+Yr140XEndidMJpFKlURq1VKnnt/J0ZDVqt5EDRuKNGig3iDLl985VMYff6ie0jJutho1VKHJ\njkOHRDKGC7OOKBgMIh06iPz9938719ywZ4+IXi/rHn5YihQp4vDsMwWlXz/1ye5kx07yySfqNc4y\nzH/fWK25D5ty/rzIe+/dMop0zyQliYwZI1KqlHoOLVvef155gX0pR/tcCorjYxu/+SYXk5Ko8/77\nJFWrht/evWobMi/x8ICTJ3N3rE4Hb7+tptzSpo2a/5EjUKaM2pmXU693zZpw8KA6AhITAwEB6r7H\nHlMDjeU1Fgv070+qry/d9+3j02+/zbuyHnoI5syBS5egVKm8K+dujBgB5ctnTsL6T9xL/OMyZWDs\n2P9Wnrc3jBsH772n3mP3EFo1X7BPCKyS0fl8F/IkWHqpceOga1dSGjbkQOXK7J46lZeGDMmLovKP\n8uXVlBvKlVNvcidwdvhwyu/Zw5fh4Vz55x/09tEJR2M2m0mtXFmdkn3okHMFRVGgSxfnle8IFCXz\nz1ugKFYM8fOjkn2g4m7kmT8U6tTB6+efqQ3ohg7lrf/9zznDyQ8Qf44fT/Fp09gZEsKrGzfmjZhc\nvkzbffsYGBXF9HbtANj922+YMkYwNAoFiYmJLF68mE6dOxORmEgVEQIDA+/+xezaQTml+/IpO3as\nCMhber20a9v2vptyGnfm/b59JQrkur+/WPMqjGlsrIjdN3DWFAnynsEgg5s2lSQHjyhp5C8pycny\nZqdO0sXdXV5WFPm2VCkxu7mJuXbtW45znpNqi0XEvvbjhNEo+3r21BwXO5g9q1bJUZ1OUr288naU\nIDZWHY1Yv17tiL1wQWTyZDE3bpwpLhcURbaGhMiBHj0k7bffRDKGzDUKJsnJkrZqlRx5/nnZW7Kk\nXLt9OF2nUwc7/vzzlq85N4yGxSKyYIFY6tfPNNRUvbrIhAkiWpTA++ba0aPyW8OGcgPE5uYmsmGD\n84y5cEFk+nQ5FRYmFz08brkpk4ODRbp1U73gR0Q4f1ToQcZsFtm8WczvvivXata8JQjYWU9POfTI\nIyKzZqnD6ufOiaSmZpuN8+Py2NmyeLFMCg2VrVlVsHlzdbzbYvnP+T8ImHbtkv1hYWKyX7/ztWsX\nuPkLFw8elGWvvCJfly0rS0BivL1v/t5Vq6pzPzRhyR9OnFDnX7VtKzb772C1L4JcVLKkrBgwQKLu\nceV4gRGUrCSfOCGb27WTi/Y5HqaQEJGpU7WwlNlw/Phx+ahXL/nZPrfF6ukpMnhwgROSOxG5a5es\n7dFDTtlddUbo9TKpRQtJ17zlO56rV8X6xRdyPmPiJshZNzfZ3bChXJs5U+T69f+UfYEUlAzSTSYZ\nWbGibLafeKq7u6Q88YQ6AW3btgc2PENcXJzMnDlT+tauLcvt18bm66tO7/+PN4RTsVgk5uOPJSEg\nQARkp8EgHzdvLr/+8otLxWsucMTHi3XuXLn+yCNisUcCPOzhIX+2bi3nHNwcLtCCksHuiAj5qksX\nmePhIYeyNom8vNRp8p9+enNKeyFmwYIF0rtTJ+lnNMpf9jau2cdHrGPGuLaQ3E5qqsj06RJvXwcT\nATLa21tee/pp+fXXX8WiNYHvTkyMWOfOlZimTSXNXtM/CzKzSBH5etCgPCvWJQQlg7S0NFm2bJn0\n79RJnvf0lO+KFZMrxYrdFJhy5UR69FAjyO/YIZIlopkrYjOb5cQPP8ia7t1lWalSskFRJNUuJJYy\nZdTlDAXNk5cjSUsTmTVLUrMMSe8E+dDPT3Z9953TYzYXKKxWtWN7wgSxPfaY2Ow1kUsgiwIDZVbf\nvnIiHwY6XEpQspKWliavvPKKlClTRsqBvG40ysbgYInz978pMP7+6uKrJUvURVoFHZNJTsyeLdva\nt5fdxYtLQpZA1Sa9XtLDwkRefVVt7j1of6aTJ0UmTZLkjEVzIEeMRvnjkUdk74wZYsth1KFQk5Cg\nujjt3VtsWR6s+w0GeQ9kxssvy7F87kvLSVAUkdzN0QcIDw+XiIiI+5599185ffo0GzduZOPGjWzY\nsAG5dIlupUrR2cODBlFReCYnI+7uKE88AQ0bqo6TatdWnVXn0uOUwxBRPXtFR2M6e5aovXtJ2rQJ\n7717KX3lCm72637e15e42rXx69CBsl26oKtU6d7WkxRmIiOJ+vprzN9/T+kLF9ABqYrC5ZAQyvfs\nifLooxAe7pzfN68RUR0vTZsG69eD2UyShwerFYWfTSbOV6lCi5496dGjR5440Lob4eHhRERE/Oui\nu5Sg3M65c+eYMWMGu3fvZv/u3VS7cYOngdZ6PdWs1sx1BRYvLyxVqmCoUwdD1arqgj0/P3VhlpeX\nGioga8rY5+2dc3hNiwWSktRYLSJY0tO5sX8/SWvX4r5lC0UOHMDjtunoZuC4ry9XKlemct++lO7e\nHV3Ronl5iQoP0dFEfv89kUuW4LFvHzVSUzNDO0j16iht2qiuFj08VK//iqKGOomPV73KZU0JCerv\n6uGhJnf37F/7+Kj3Stmyqke+SpXyZ4Hn9evQpw/88Qfm0FAiypbl7X/+Ia56dbp060b37t2pXr16\n3ttxBwqloNyRxEQ4eBDbgQOYdu7EevAgbqdP4xEbe0/ZxAHXdTriFQVvnQ4/EfxsNrzvsC5JypQh\nsWRJ5uzaxetz50JICBQvrt6Uzg7bWVgwm5G9ezn/008oixdTPDoajxzu5QTUUJpm4AgQj+qBzB01\n3kx2W0/AF3C7La9Y4PRt6TIQA1wHEu0pN4FvdYAf4G8vywYEAYuAUEVhbcuWlP7oI+rYXZQWJB48\nQcmJ1FT1CRUfD8nJYDLdTCkpt75PTFRdEFy7BjduqGIQEAD+/hAYqPoz1enUp6GiqKIRFqZWUQcO\nJLJxY1b16cPLL7/s7LMu/Iiov2ta2k3H4e7uai3DzY34Ro24vn07Fe51gWpysuoP9vTpW9OpU3D+\nfGbs339hNN6s4WZNBoN6n8XFqfZmR7lysHSp2pwroOQkKHnivqBAk1GdDQ7OuzL69QOg9NKlDClT\nhqpVq9LE7j1dI49QFFXob8dkIrl/f/y3beO38uWpcK/5enur/m+yOLTOxGKBCxfgyhX1wXPjhvoQ\nykjJyZCefmuyWG4+mDKSv7/6cEpPVx9ezz+vPrBckAdPUPKDSZNUh0qjR/PUU0/RrVs3IiIiKOVM\nnyEPIps2YXvpJbzPnGFeYCCdHV27NhjUuNoV7lmmCi3acEJe8MgjasDyOXNY0rIlxYoVo2PHjqQU\nNG9chZlVq5CWLbkaE0NnHx8e++cfAvKjQ/UBRxOUvGLcOGjbFo/XXmN9//5ERkYyYMAAZ1v1YGBv\nNlwpWpQayckMXLKEKgXRG1ohRBOUvMLNDX76CR5/nOB33iFmxw4eeugh9Hq9GnRKI8+48eqrWK5f\nZ1rDhtywWgteNL5CjNaHkpd4esLixVCjBgwcyMg1azhy5AjPPfcc8fbohBoO5vBh/H74gd9CQxlt\nD+ymkX9oNZS8plQptZN23TqYMYOvv/6a6tWrZ8a41XAgaWnY+vYlUafj8b/+ws3t9lkkGnmNJij5\nwaBB0KoVjByJx5Ej/Pzzz/To0QOr1Xr372rkjrQ0ePZZdDt3kjh5MkWdMB1dQxOU/EFRYP58KFoU\n2rYlNCaGjRs38u677zrbssKBxaIGSP/tN4YoCmWcFMJEQxOU/CM0FFavVucuNGrEH0OGMHHiRL7/\n/ntnW+b6jB8Pv/zCMEWhwuTJzrbmgUYTlPykWjXYsQMqV6b555+zKjyc/n37smvXLmdb5rqcPYvt\no49YYjQS37s3I0eOdLZFDzSaoOQ3JUvCli3Qty+td+3ievfuPNezJ40aNSItLc3Z1rkU6enprHns\nMcwWC8127mT+/PnONumBRxMUZ+DlBbNmwTvv4DF/PtvatOHw4cMMGjTI2Za5FB/36kWL6GjievWi\nWL16zjZHA01QnIeiwAcfwIsvUmzqVNb168eCBQv45ptvnG2ZSzD1q69ounQpFl9fQr76ytnmaNjR\nBMWZKArMmAFNmhA+dSqLu3dn+PDhzrbKJTg6YgSNAfcpU1x2ZW5hRBMUZ+PmBitWQL16dF+6lInh\n4Zw5c8bZVhVozu/dy0d6PdKkierZTKPAoAlKQSAwENauRXnkEV7fsYPZzZqRnJzsbKsKJAkJCexs\n0QJfqxVlypTC50vWxdEEpaDg5werVqE0bcqECxf45MknuRdveg8CVquVGU2b8mxsLMqIEVCnjrNN\n0rgNTVAKEj4+8Pvv6KpV4/WjR/HX6fjpp5+cbVWBYN68ebQ1GBhx8CA0aQITJjjbJI1s0ASloOHl\nBXPm4BcXx8pq1ejbty+HDh1ytlVOZevWrSwcMIDfDAb0tWrBL7+ofU8aBQ5NUAoijz0Gb77J48eO\nMbRMGTp27Mi1a9ecbZVTOH/+PH07d2a5omCsWBHWrlX9sGoUSDRBKaiMGwcPPcQHZ87wSFISPXv2\nxJKTh/VCTMeOHRkH+NlsKEuWQLFizjZJ4w5oglJQcXeH1atRKlVicWws5TZt4q233nK2VfmKzWbD\nHBVFt8RElBde0DphXQBNUAoyxYrBpk3omjZlltlM4GefqZEKHxBGjRrFyq5d0aWlwbBhzjZHIxdo\nglLQCQiAP/+Efv0YDSz28eFSZKSzrcpTdu/ejZeXF4rFQoVVq9RRHa124hJoguIKGI3qYsJRo+hl\nMrEtLAxTIQ3JcfnyZTp16kTTpk35oHRpOHcO3nzT2WZp5BJNUFwFRYEJE7jRrx/PxsSwKSxMDb9Z\niDCZTHTu3Bk/Pz+WjB+P7v/+D1q3hnbtnG2aRi7RBMWVUBSCZs3ifOfOPHnsGBEtWmQvKgcPwkcf\nqfGbXQQRoW/fvpw5c4Zff/oJ37591agBc+Zo0+tdCE1QXA1Foezy5exp2JDwDRu40LbtvwN2798P\no0bB1avOsfE+GDduHMuWLWPp0qVUWr5cFcW5c9WoARougyYoroii8PC2bayoWZMyq1aR1K7dLaKy\ndd8+9UUB7GfZsmULJ0+evGXf8uXLef/995kyZQrNKldWa1ddukD79k6yUuO+EZFcp7CwMNEoOJhM\nJvm8dGkREBk2TEwmk/Tu3VueUBtCIuvWOdvEW0hLTpZ23t4S4OkpK1euzNzv7e0tw4cPV9+88IKI\nm5vI2bNOsVEjd9i14F8aoQlKIeBSt24iIN31egGkhF1Qdvfv72zTbmFbSIgIyPMggOh0OqlUqZLE\nxsaqB6xYod6Sb73lXEM17kpOgqI1eQoBm9q3ZyfwjdVKaeAycBVIKkAxlONXreLR6GgAfO37bDYb\n586dIzU1Ve336d0bwsPVZQcaLokmKC6M1Wrl7bffpmefPvQE9MAi1B/1Z+ChqCiuXbrkVBsBECFp\n6NDMt1l9+1ssFprXrk1au3aqT5gVK2DhQsjoB9JwKTRBcUUuXQJFQW8wUOvjj/EHzgCvAE2AUcAK\n1JrA9g8/dKKhdnbsoOTp00yxv80qKH7A3GvXsF26xPZXX1VrJy+/DF9/7QRDNf4rmqC4Ill8gTwv\nQhwwAliMWkMZC1iBJCBt6VJnWHgrX35JLPCj/W2Gc8uywHbgYWA4UPKrrzLDizB9uhMM1fivGJxt\ngMZ9UKwYiGBJTOTs449Tef9+PgVqoNZS6gO/AJ7AEzExahetsyaHXbkCP/3EAp0Og31hYzxQFVgP\neAPLvbz4ys0Nj9hYWLZMHTLWcEm0GooLY/D1pfK+ffDXXwD0A34H2gO/2o8pCkhEhHMMBFi5EiwW\nvrXZ8LDvKqkobABKAv56Pd1TUvCoUkUN06qJiUuj1VAKA82awc6d0KABTYCTwEydjjM2GxWA2BEj\nCNq8Off5pafD2bNw4QIkJKgpJUUNo1qlClSooPpryZj2f6faz4YNxHp4cCA1lcr2XQuzLBdQKlaE\nMWOgZ0/Qac83V0cTlMJC/fpw9CjUqgVWKwOy+E0J2rIl5++dP4+sW0fqnj3Yjh5Ff/o0bpcuobNa\nc1+20aj26xiNt74OCMB27hyW1FTeVRS63L7uaPFi6N4d9Pp7PFmNgoomKIWJatUgNRW++w4mTlQF\nBtin02E4dIiL+/eTEhEBR4/ife4cVSIjKZ+SQkb94hRwwp6OA5FAX6C3/XMbaoeqb5YiVwLHFAVf\nnY4Ad3dKBgfj7+WFr7s7ASIYrVaKAe9nFRODQZ1Wf/UqHDqk+jrRFgAWCjRBKWwYDMS0acPOoCBS\nFiyg3ObNxEZHU7t2bWplOSxNp+NciRJsa9uWhMcew1irFoFFihAWEEBjT088U1Px7dcP/YYN0KED\n6aNHk1RZbbSciY0l9fJlKjzzDEVefJHAKlW4ceMGxy5fZvv27Zw/f57o6GhEBB/gFZ2OdmFhlPTx\nIUSnw7tkSdi8WZ1zAlC8uOqmoHVraNVKfa/hkmiCUkj4+pNPuLpmDYY9e6hw/TqPAeXtnyUHBJD6\n2GOkPf447nXrQvXquJcpQ9U79VlERsKpUzB7NvTti1FRyIggHBgYqPajREXRUFFomM3XzWYzp0+f\nZu/evRw/fpyhP//M0b17sVgsBAcH88gjj9Cya1faurtT6cwZ1SvdwoXql+vVU8XlySehUSO1v0bD\nJVDkHpz0hIeHS4QzRww0VMxmEv/+m5PffUfy1q0EnDtHtfR0jPaPU4sUQdewIW5PPQUtWqhNoftp\nUphMqk8SB5GSksKePXvYsWMHO3bsYNu2bVy6dImuXbvSumVLOpYuTciBA7B6NWzdqq6gDgyEF1+E\nQYPUDmGNAkF4eDgRERH/uqm0GooLICJsWL+ezRMmUGbzZrrpdPhaLDwMULQoNG0KDRqoHbP16+NR\nsqRjCnagmAB4eXnRuHFjGjdu/K/PzGYza9euZcmxY/yybx9itTKkZk3GV6+OfsoU+PxzaN5cFZbO\nndVOX40ChyYoBZiEhAR+nTCB1NmzeSo2luaA+PigdO2qdmo++iiUKFEoOjTd3Nxo164d7dq1Iy0t\njTVr1jB37lxKbNrEsEGDGOLpScCSJdCtG4SEqLNpBw3SIggWNLJbgpxT0twX5A8JCQkyc+RIWWs0\nioBYFEXimjQR+eEHkeRkZ5uXr0ycOFHKli0rRqNR+vTqJRdnzhRp3lx1c9CggcilS8428YFE84fi\nIqRcuCBfubuLGcTk7i7J770nEhPjbLOcitlsllmzZkn58uXFaDRKv759RZYsEfH2FqlYUSQ62tkm\nPnBo/lAKOocOceHJJ1HKlmWo2Yz07o3HhQt4jR2r9pM8wBiNRvr378/x48eZOXMma9et46uoKCyr\nVsHly9C2rUs55C7UZKcyOSWthpIHXLokqe3aiYCkgKytWFHk0CFnW1WgSU5OFnd3d6lXr56cmzZN\nxGAQCQ8XuXbN2aY9MGg1lILIqlWkV6+OrFzJp/7+7Fq+nJanTkHNms62rEDj5eXFgQMH8Pb2pvrI\nkaweNEj1kt+sGdy44WzzHmg0QXEGIqxr0gRbmzbEenvjfuwYI+PiaPL00862zGWoUqUKW7ZsISUl\nBdq3p6NOR/rhw1jbtwez2dnmPbBoguIMxo6l5ebNnH3sMYJPnUKpWtXZFrk0Tz75JO/+/Tevenmh\n374dvv3W2SY9sGiCkt8sXQrjx3O2eXMqbtkCXl7OtujumM2wZAnktAJZBNasUd02fvONeo4XLuSr\nifXr12fYP/8QodfDp59CltXWGvlIdh0rOSWtU/Y/cvasmL295R8QMZudbU3u2bhRnWHQqVP2n3/2\nmfr57WnwYBGbLV9NPfj222rZa9bka7kPGlqnrLOxWLD17EmqycS8J5/M16nj8fHxvDViBG83acK8\nunVZVaEC+6pXJ2XKlLt/GdQFegCJiTRs2BASE9UwoRk1lrg4dbt5M9PHjuWz559nY/ny8M03/DVx\nouNP6A7Ueu89EoAErdnjHLJTmZySVkP5D3zzjQjIC0ajnD9/Pv/KtVrl4yJFJNnDI7PmYAsMlARv\nb/X9b7/lLp+TJ0XS06VHjx4izZqp312/XiIjI0WuXBFZuFDEYpEDBw6ox48YIQJSA+STTz7Ju/PL\nhjV+fnLV0zPfa0cPEtpMWSdzpW5dOQhyMTIyX8vd27at+jN36CDy008iUVHqB2azJJYuLVt79hRZ\nvlzEYsldhqmpIooiSb16Sc0aNaRatWq3fDxkyBB1FitI/HPPCSDPPPOMg8/qLkydKgIycfDg/C33\nAUITFCcT7eMja4OD87fQY8fEApLy3HO3Pq2Tk0VeeUUu79kj4x95RARkV8eOoiiKACLJybKjeXOp\nYw8ZKiJitVpl3YQJ8lflyiIgR2rUkMEg4zw8ZFbLlplZXzx5UqRIEZGGDeXLyZPFYDDI/v378/e8\n9+4VARlevHj+lvsAkZOgaKuN8wlbWhpBFSrkb6FffYVFUfD8/PNbVyQfPgxz5xKyfTsXr1wBILxu\nXSocPszp06fhyy9p8NdfDPf3p198PKSno9u6laZff40hKgqA6keOMA1Ul5NBQZlZl/TwgOvXsb7w\nAlNmzGDevHnUqVMnH08aKFtW3V65QkpKCl6uMJJWSNA6ZfOJGzZbpsezfCE2FhYsYKlOB8HBau/J\nihXqEHD9+vDddyh791LDLig8/jjGjI7iHTsAuJLhKS02Fpo1w1C9Ol+C6lR6+HCKAw9VqQI//niz\n3FKlYPBgNsbGMmTIroxpowAACK5JREFUEHr16pVfZ3wTb291A1wqCKFYHyA0QcknztlsBF6/nn8F\nzpsHSUksLVkSq9UK27bB00/DpEnq5506IXXq0Dyj5uLnd/O7f/8NwFEPeySdjO1TT/EaqAKVlMRV\nIDU7N5LTprG6aFFee+21PDixXJCsxiZMA+IyRqA08gVNUPKJw35+BFy6pHp6zw9+/BHq18dWp476\nlG7USA1ZMWYMTJ0K6elYb9zAkNEcsA8Be0PmMHC11FT1s4xjMt5HRcGcOTkWbTKZeOihh/LgpHLJ\ntm0A7AdKOsp7nUau0AQlnzie0a7/88/8KfDiRahVix49erB3715134IF0KkTvPoqdO2K4eJFrmSs\nH9q6FUVReMf+dTEYGBITo8YjPn9e3WlvSmTgD1gsln8V7blwIT0bN1aDgzmDFSswe3qyVa+nuOZB\nP3/Jrqc2p6SN8tw/e/fskXMgNxo1yp8Cw8LUJf02m5QqVUoGDRokKSkpImfPis3HRwRkZkCAemzT\npiIBAXJt6FAxK4osNhjk7Nq1ss/PT6J9fWXNhP9v795jojrTOI5/D2e4mlkYbo2xE1QwIIoXukqr\nFTdutk2oaE0vMbWm7R/1P1Ldtqtu46XGhNrGtHUNEROTmjZNyjJNXTGVsNasxoql7nrJjltUlCDV\nLHoGoTI6zM6zfxwUW8Ws6zAH5Pkkbwgnw5yH2y8z5zzv+2681cMyHeQvr74q1zdskNWrV8vo0aPF\n5/P1n7epqb9TNlbf6+3CYYlkZkqNyyVVVVWxP/8IobeNh4CdWVkSMgwRyxr8k23bZv96P/hArgYC\nsuXNN2VDfLx0x8VJqO8fvmf7dvuxZ86I9N0OlilTRK5cufP5bobEsWP3Pq9liaxcKfL663YNsdY3\nTWBJUpJ0jPCV7gaTBsoQ8N327SIgZ156afBPFg7bc29ApG9tWgHZBfJbl6s/IH74of/x7e0DN7h9\n+qnIe+8Nft0PqqJCekDeX7vW6UoeagMFiu7LE2MHvF5mXbiAq77e3sxqMIXDUFsLx4/bd2bmz+fd\nzz9n48aN7DMMcp99ljE1NYNbQyx1diK5uey9fp3fXL5McpS3AVH9BtqXRy/Kxtikgwc5k5CALFoE\nDQ2DezKXCxYvhspKWLECJkxg3bp1+P1+6t9+mxfb26mqqhrcGmIlFIJXXkEsC291tYaJQ/QVigP+\n+c03uJ9/Hu+NGxiNjVBU5HRJw1soBM89B3V1VAB/uo+/afX/0VcoQ8ikefP4986dXAoGOfP441w4\nf97pkoatYDBIw/TpUFfHoSVLNEwcpoHikF+XlxPevJm8nh62TJ5MXV2d0yUNO36/nw0TJvA7v59z\n8+cz+7PPnC5pxNNAcZB3+XL+M2cO63p7WVFezrJly7gSy/b8YWzTpk2sKi7m3R9/5PoTTzDO53O6\nJIUGirMMA/OTTxjldnMsM5NOn4/8/Hwiuh7qPf21oYHWtWvxRSLEFxWRtGeP7nE8RGigOG38ePj6\na0Z5PNRYFoc9HjY8+ig1W7fak/rULYcPH+YPs2eT9NRTVIVCxJeWYjQ0gCem87jVPWigDAUzZti9\nIuvXMyESYf3FiyyoqOCLrCz+vG0boRG8z4yIsH//fubPm8fRWbN4/9tvmZGRAdXV9kr72dlOl6hu\nd7dut4GGdsrGQCQicvy4BF54QcKGIZdBfu92yx9XrZKWlhanq4spy7KkoKBApoOcT0mxO3uXLxf5\n6SenSxvxdNX74cIwYMoU0mpqME+cIKO0lM3d3Wzct4/ztbUkJyeTkJBAWVkZO3bsoK2tzemKH1hn\nZyc+n4+lS5eSmpqKaZrMnTuXPdXVnHrySf5umuSkpdmNgB9+eMesZzWE3C1lBhr6CsUBkYg9j+aR\nR0RAQgsXSl1lpSxcuFCSk5MFkIkTJ8ru3bvFisWkwyjp6emRAwcOyJo1a8Q0TTFNU+bMmSPbKyvF\n2rpVZPFikcREkYQEkTfeuPuEReUYXVN2uDIMePllKC+HzZuJ/+gjntm1i2cWLSJUW8tB06R+3z4W\nLFgA2Hv+lpSUUFJSwsyZMyksLBwSa6r6/X6OHj3KkSNHaGxs5MSJE0R6eykdM4a/vfUWxaZJ8qFD\n8M479q5/2dnw2muwciWMHet0+ep/pK33w41lwccfw5Yt9spqGRnw9NN0zZrFYbebg83NNDY20tTU\nRFdXF4ZhUFZWRmFhIfn5+Xi9XrxeLzk5OYMSNOfOnaOtrY3W1lZOnz7Nv/x+Lp48Sai5mcmmSWl2\nNtNSUhgbDPKrjg6M3t7+L5461Q7O8nJ47DF77Vo1JA3Ueq+BMlwFg7B3L3z5pX234+bSktOmwezZ\nRIqLac3O5h/BIL6vvuLUqVM0NzdzrW+9VYDMzEyKiorweDykp6eTnp6Ox+MhPj4et9uNy+XC7Xb3\nnS7I9b4lIAOBAF1dXViWRSAQ4FpHB4mXLpFy6RJplkUukBcXR77LhTccJvH2vhqXC/LyoKDgzpGa\nGqufnnpAGigPs0gEjh2D+nr7wuX339vbhQIkJ9uTD6dOhcJCurOzaU9KojUY5KxlcdLvJxAIEAgE\nbgVEOBymq6uL3lAI89o1soCJ8fFMcrnIi0TIMU0yDYM0wNPbS+ovbmtHUlIw8vIwxo+3+2zGjrW3\ntigogHHjYroNqxocGigjSSQCzc3Q1GQHzc1hWT9/nGHYe+pkZEBamr1+yo0b9ujuhitX7GO3S0uz\nAyI93W4oy8iwwyInxw6P3FzIyvr5PkDqoTNQoOhF2YdRXFz/24ilS+1jInZAnD0LLS3Q0WF/fvmy\n/bGz0347kphoj1Gj7GDIzLTHuHGQn69hoe5JA2WkMIz+cCgpcboa9ZDSxjal1H27evVq4G7H7+sa\nimEYHUBrtIpSSg1bOSKS9cuD9xUoSil1L/qWRykVNRooSqmo0UBRSkWNBopSKmo0UJRSUaOBopSK\nGg0UpVTUaKAopaJGA0UpFTX/BS19hCKfiA0bAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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pktredluBzE1MTOS9994DoPmlS6QDI5YuZaSfHzWTk8FkUq2dGxESolo9bdsq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\nh6EFRqPROAwtMBqNxmFogdFoNA7j/wH9HZACBElp9QAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ONMIdOiT+trZtaXH6ZQFeL1KEsc88Q86dSx4+7J5GrpkzZf9XrkgDDkBu28aAgAD+8ssv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\nCCXACoVC4SH+Hwi6jYvIP1AQAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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PkopSmKeeeqrk9f7xh+qOPfNMaSXXsKIpTEUzeDDcey+8/DJs2JC3/YknYPZs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\naGiUAE1hNDRKwP8DEVA2KM3EzxsAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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8CLRoUTHHNRgkkm5iosRRT0sDMjIk4m55k06Xd5qRYU6ZmUBGBmKuX4eLjQ2s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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "e-c800o2Baci",
        "colab_type": "code",
        "outputId": "86307e27-fad6-44b8-85a7-03398befd388",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 53
        }
      },
      "source": [
        "# This cell converts the file to tf.Record of tf.Example.\n",
        "# This cell takes long time to run.\n",
        "\n",
        "def get_label_file_contents(type, labelid):\n",
        "  get_label_file(type, labelid)\n",
        "  with open(os.path.join(LOCAL_DATA_DIR, type, \"%s.%s\" %(labelid, type))) as f:\n",
        "    return f.read()\n",
        "\n",
        "def ink_to_tfexample(ink, dot=None):\n",
        "  \"\"\"Takes a LabeledInk and outputs a TF.Example with stroke information.\n",
        "\n",
        "  Args:\n",
        "    ink: A JSON array containing the drawing information.\n",
        "    dot: (Optional) textual content of the GrahViz dotfile that was used to\n",
        "      generate the prompt image.\n",
        "\n",
        "  Returns:\n",
        "    a Tensorflow Example proto with the drawing data.\n",
        "  \"\"\"\n",
        "  features = {}\n",
        "  features[\"key\"] = tf.train.Feature(\n",
        "      bytes_list=tf.train.BytesList(value=[ink[\"key\"].encode(\"utf-8\")]))\n",
        "  features[\"label_id\"] = tf.train.Feature(\n",
        "      bytes_list=tf.train.BytesList(value=[ink[\"label_id\"].encode(\"utf-8\")]))\n",
        "  if dot:\n",
        "    features[\"label_dot\"] = tf.train.Feature(\n",
        "        bytes_list=tf.train.BytesList(value=[dot.encode(\"utf-8\")]))\n",
        "\n",
        "  max_len = np.array([len(stroke[0]) for stroke in ink[\"drawing\"]]).max()\n",
        "\n",
        "  strokes = []\n",
        "  stroke_lengths = []\n",
        "  for stroke in ink[\"drawing\"]:\n",
        "    stroke_len = len(stroke[0])\n",
        "    padded_stroke_with_pen = np.zeros([1, max_len, 4], dtype=np.float32)\n",
        "    padded_stroke_with_pen[0, 0:stroke_len, 0] = stroke[0]\n",
        "    padded_stroke_with_pen[0, 0:stroke_len, 1] = stroke[1]\n",
        "    padded_stroke_with_pen[0, 0:stroke_len, 2] = stroke[2]\n",
        "    padded_stroke_with_pen[0, stroke_len - 1, 3] = 1\n",
        "    strokes.append(padded_stroke_with_pen)\n",
        "    stroke_lengths.append(stroke_len)\n",
        "\n",
        "  all_strokes = np.concatenate(strokes, axis=0).astype(float)  # (num_strokes, max_len, 4)\n",
        "  all_stroke_lengths = np.array(stroke_lengths).astype(int)\n",
        "\n",
        "  features[\"ink\"] = tf.train.Feature(\n",
        "      float_list=tf.train.FloatList(value=all_strokes.flatten()))\n",
        "  features[\"stroke_length\"] = tf.train.Feature(\n",
        "      int64_list=tf.train.Int64List(value=all_stroke_lengths))\n",
        "  features[\"shape\"] = tf.train.Feature(\n",
        "      int64_list=tf.train.Int64List(value=all_strokes.shape))\n",
        "  features[\"num_strokes\"] = tf.train.Feature(\n",
        "      int64_list=tf.train.Int64List(value=[len(ink[\"drawing\"])]))\n",
        "  example = tf.train.Example(features=tf.train.Features(feature=features))\n",
        "  return example\n",
        "\n",
        "@contextlib.contextmanager\n",
        "def create_tfrecord_writers(output_file, num_output_shards):\n",
        "  writers = collections.defaultdict(list)\n",
        "  for split in [\"train\", \"valid\", \"test\"]:\n",
        "    for i in range(num_output_shards):\n",
        "      writers[split].append(\n",
        "          tf.io.TFRecordWriter(\"%s-%s-%05i-of-%05i\" %\n",
        "                                      (output_file, split, i, num_output_shards)))\n",
        "  try:\n",
        "    yield writers\n",
        "  finally:\n",
        "    for split in [\"train\", \"valid\", \"test\"]:\n",
        "      for w in writers[split]:\n",
        "        w.close()\n",
        "\n",
        "def pick_output_shard(num_shards):\n",
        "  return random.randint(0, num_shards - 1)\n",
        "\n",
        "def size_normalization(drawing):\n",
        "  def get_bounding_box(drawing):\n",
        "    minx = 99999\n",
        "    miny = 99999\n",
        "    maxx = 0\n",
        "    maxy = 0\n",
        "\n",
        "    for s in drawing:\n",
        "      minx = min(minx, min(s[0]))\n",
        "      maxx = max(maxx, max(s[0]))\n",
        "      miny = min(miny, min(s[1]))\n",
        "      maxy = max(maxy, max(s[1]))\n",
        "    return (minx, miny, maxx, maxy)\n",
        "\n",
        "  bb = get_bounding_box(drawing)\n",
        "  width, height = bb[2] - bb[0], bb[3] - bb[1]\n",
        "  offset_x, offset_y = bb[0], bb[1]\n",
        "  if height < 1e-6:\n",
        "    height = 1\n",
        "\n",
        "  size_normalized_drawing = [[[(x - offset_x) / height for x in stroke[0]],\n",
        "                              [(y - offset_y) / height for y in stroke[1]],\n",
        "                              [t for t in stroke[2]]]\n",
        "                             for stroke in drawing]\n",
        "\n",
        "  return size_normalized_drawing\n",
        "\n",
        "def resample_ink(drawing, timestep):\n",
        "  def resample_stroke(stroke, timestep):\n",
        "    def interpolate(t, t_prev, t_next, v0, v1):\n",
        "      d0 = abs(t-t_prev)\n",
        "      d1 = abs(t-t_next)\n",
        "      dist_sum = d0 + d1\n",
        "      d0 /= dist_sum\n",
        "      d1 /= dist_sum\n",
        "      return d1 * v0 + d0 * v1\n",
        "\n",
        "    x,y,t = stroke\n",
        "    if len(t) < 3:\n",
        "      return stroke\n",
        "    r_x, r_y, r_t = [x[0]], [y[0]], [t[0]]\n",
        "    final_time = t[-1]\n",
        "    stroke_time = final_time - t[0]\n",
        "    necessary_steps = int(stroke_time / timestep)\n",
        "\n",
        "    i = 1\n",
        "    current_time = t[i]\n",
        "    while current_time < final_time:\n",
        "      current_time += timestep\n",
        "      while i < len(t) - 1 and current_time > t[i]:\n",
        "        i += 1\n",
        "      r_x.append(interpolate(current_time, t[i-1], t[i], x[i-1], x[i]))\n",
        "      r_y.append(interpolate(current_time, t[i-1], t[i], y[i-1], y[i]))\n",
        "      r_t.append(interpolate(current_time, t[i-1], t[i], t[i-1], t[i]))\n",
        "    return [r_x, r_y, r_t]\n",
        "\n",
        "  resampled = [resample_stroke(s, timestep) for s in drawing]\n",
        "  return resampled\n",
        "\n",
        "for json_file in JSON_FILES:\n",
        "  counts = collections.defaultdict(int)\n",
        "  with create_tfrecord_writers(os.path.join(LOCAL_DATA_DIR, json_file + \".tfrecord\"), NUM_TFRECORD_SHARDS) as writers:\n",
        "    with open(os.path.join(LOCAL_DATA_DIR, json_file)) as f:\n",
        "      for line in f:\n",
        "        ink = json.loads(line)\n",
        "        dot = get_label_file_contents(\"dot\", ink[\"label_id\"])\n",
        "        ink[\"drawing\"] = size_normalization(ink[\"drawing\"])\n",
        "        ink[\"drawing\"] = resample_ink(ink[\"drawing\"], 20)\n",
        "\n",
        "        example = ink_to_tfexample(ink, dot)\n",
        "        counts[ink[\"split\"]] += 1\n",
        "        writers[ink[\"split\"]][pick_output_shard(NUM_TFRECORD_SHARDS)].write(example.SerializeToString())\n",
        "\n",
        "  print (\"Finished writing: %s train: %i valid: %i test: %i\" %(json_file, counts[\"train\"], counts[\"valid\"], counts[\"test\"]))"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Finished writing: diagrams_wo_text_20200131.ndjson train: 27278 valid: 4545 test: 4545\n",
            "Finished writing: diagrams_20200131.ndjson train: 16717 valid: 2785 test: 2785\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "oXqJ4cqpzIUV",
        "colab": {}
      },
      "source": [
        "# Download the TFRecord files to local machine (or use the filemanager on the left).\n",
        "for json_file in JSON_FILES:\n",
        "  for split in [\"train\", \"valid\", \"test\"]:\n",
        "    for i in range(NUM_TFRECORD_SHARDS):\n",
        "      filename = os.path.join(LOCAL_DATA_DIR, json_file + \".tfrecord-%s-%05i-of-%05i\" % (split, i, NUM_TFRECORD_SHARDS))\n",
        "      print(filename)\n",
        "      files.download(filename)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "K5dz6YIBWgPT",
        "colab_type": "code",
        "outputId": "93724ad1-4a70-4079-9f53-997c554493c1",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 187
        }
      },
      "source": [
        "stats = {}\n",
        "\n",
        "# Compute some dataset statistics\n",
        "def count_points_strokes(ink):\n",
        "  return sum([len(stroke[0]) for stroke in ink]), len(ink)\n",
        "\n",
        "# Collect data to compute statistics\n",
        "for json_file in JSON_FILES:\n",
        "  stats[json_file] = collections.defaultdict(list)\n",
        "  with open(os.path.join(LOCAL_DATA_DIR, json_file)) as f:\n",
        "    for line in f:\n",
        "      ink = json.loads(line)\n",
        "      points, strokes = count_points_strokes(ink[\"drawing\"])\n",
        "      stats[json_file][\"points\"].append(points)\n",
        "      stats[json_file][\"strokes\"].append(strokes)\n",
        "      stats[json_file][\"labels\"].append(ink[\"label_id\"])\n",
        "\n",
        "  print (json_file)\n",
        "  for i in [\"points\", \"strokes\"]:\n",
        "    print (i, min(stats[json_file][i]), max(stats[json_file][i]), statistics.median(stats[json_file][i]))\n",
        "\n",
        "  for i in [\"labels\"]:\n",
        "    labels, counts = np.unique(stats[json_file][i], return_counts=True)\n",
        "    print (i, len(labels), min(counts), max(counts), statistics.median(counts))\n",
        "  print()"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "diagrams_wo_text_20200131.ndjson\n",
            "points 2 17980 1068.0\n",
            "strokes 1 71 9.0\n",
            "labels 940 1 169 36.0\n",
            "\n",
            "diagrams_20200131.ndjson\n",
            "points 2 7268 2295\n",
            "strokes 1 161 31\n",
            "labels 5629 1 27 3\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    }
  ]
}